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GCF of 24/700, 60/814

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 24/700, 60/814 i.e 12/284900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/700, 60/814.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 24/700,60/814?

Given fractions are 24/700,60/814

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 24/700,60/814, numerators are 24,60

Denominators are 700,814

The GCF of 24,60 is 12 .

LCM of 700,814 is 284900.

The greatest common factor of 24/700,60/814 = [GCF of 24,60]/[LCM of 700,814]= 12/284900

Therefore, the GCF of 24/700,60/814 is 12/284900.

Greatest Common Factor of 24,60

To find the highest common factor of 24,60, we have to find the factors of both numbers and list the highest common factor.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The HCF of 24,60 is 12.

Lets's calculate GCF of 24,60

Greatest Common Factor (GCF) of 24,60 By Common Division

2 24, 60
2 12, 30
3 6, 15
2, 5

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 24,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,60 By Matching Biggest Common Factor Method

Now, list down the factors of 24

:

1,2,3,4,6,8,12,24

Now, list down the factors of 60

:

1,2,3,4,5,6,10,12,15,20,30,60

Greatest Common Factor

We found the factors 24,60 . The biggest common factor number is the GCF number.
So the greatest common factor 24,60 is 12.

Lets's calculate LCM of 700,814

Lowest Common Multiple of 700,814 using Common Division

2 700, 814
350, 407

∴ So the LCM of the given numbers is 2 x 350 x 407 = 284900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/284900

Therefore, the GCF of Fractions 24/700,60/814 is 12/284900

Least Common Multiple of 700,814 with GCF Formula

Least Common Multiple of 700,814 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 700,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,814) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(700,814) x common factors =2 x 1 = 2

LCM(700,814) = ( 700 × 814 ) / 2

LCM(700,814) = 569800 / 2

LCM(700,814) = 284900


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 24/700, 60/814

1. What is the HCF of 24,60?

The HCF of 24,60 is 12

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 24/700, 60/814?

Answer: GCF of Numerators as per given numbers 24/700, 60/814 is

GCF of Numerators i.e. for 24,60 is 12

LCM of denominators i.e. for 700,814 is 284900.

Thus, GCF of Fractions is 12/284900.Finally, GCF of Fractions for 24/700, 60/814 is 12/284900.